Open subgroups and Pontryagin duality.
W. Banaszczyk, M.J. Chasco (1994)
Mathematische Zeitschrift
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W. Banaszczyk, M.J. Chasco (1994)
Mathematische Zeitschrift
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W. Banaszczyk (1990)
Colloquium Mathematicae
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Montserrat Bruguera, María Jesús Chasco (2001)
Czechoslovak Mathematical Journal
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A reflexive topological group is called strongly reflexive if each closed subgroup and each Hausdorff quotient of the group and of its dual group is reflexive. In this paper we establish an adequate concept of strong reflexivity for convergence groups. We prove that complete metrizable nuclear groups and products of countably many locally compact topological groups are BB-strongly reflexive.
Michael Barr (1977)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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R. Bieri, J.A. Hillmann (1991)
Mathematische Zeitschrift
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C. H. Houghton (1973)
Compositio Mathematica
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Zhongqiang Yang, Dongsheng Zhao (2006)
Fundamenta Mathematicae
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Let S(X) denote the set of all closed subsets of a topological space X, and C(X) the set of all continuous mappings f:X → X. A family 𝓐 ⊆ S(X) is called reflexive if there exists ℱ ⊆ C(X) such that 𝓐 = {A ∈ S(X): f(A) ⊆ A for every f ∈ ℱ}. We investigate conditions ensuring that a family of closed subsets is reflexive.
Antonio Vera López, Jesús María Arregi Lizarraga, Francisco José Vera López (1990)
Collectanea Mathematica
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In this paper we classify all the finite groups satisfying r(G/S(G))=8 and ß(G)=r(G) - a(G) - 1, where r(G) is the number of conjugacy classes of G, ß(G) is the number of minimal normal subgroups of G, S(G) the socle of G and a(G) the number of conjugacy classes of G out of S(G). These results are a contribution to the general problem of the classification of the finite groups according to the number of conjugacy classes.
Huerta-Aparicio, Luis, Molina-Rueda, Ariel, Raggi-Cárdenas, Alberto, Valero-Elizondo, Luis (2009)
Revista Colombiana de Matemáticas
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